Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:$ f(x)=2 x+1, x=\frac{1}{2} $

Given:

\( f(x)=2 x+1, x=\frac{1}{2} \)

To do: 

We have to find whether the indicated numbers are zeros of the polynomials corresponding to them.

Solution:

To find whether $x=\frac{1}{2}$ is a zero of $f(x)$ we have to check if $f(\frac{1}{2})=0$

Therefore,

$f(\frac{1}{2})=2 \times(\frac{1}{2})^{2}+1$

$=2 \times \frac{1}{4}+1$

$=\frac{1}{2}+1$

$=\frac{3}{2}$

Therefore, $x=\frac{1}{2}$ is not a zero of $f(x)$. 

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Updated on: 10-Oct-2022

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